070102-计算数学

边界积分方程，正反散射问题

2013-10--2014-10   德国柏林工业大学   联合培养博士生
2011-09--2015-12   重庆大学   博士
2007-09--2011-06   重庆大学   学士

   

2018-09~2020-10,美国加州理工学院, 博士后
2017-06~2018-06,法国格勒诺布尔大学, 博士后
2016-03~2017-05,浙江大学, 博士后

   

[1] 江雪, 吕茂辉, 殷涛, 郑伟英. A PML method for signal-propagation problems in axon. SIAM Journal on Applied Mathematics[J]. 2023, 83(5): 1785-1805, [2] Bruno, Oscar P, Yin, Tao. MULTIPLE-SCATTERING FREQUENCY-TIME HYBRID SOLVER FOR THE WAVE EQUATION IN INTERIOR DOMAINS. MATHEMATICS OF COMPUTATION. 2023, http://dx.doi.org/10.1090/mcom/3872.
[3] Lu, Wangtao, Xu, Liwei, Yin, Tao, Zhang, Lu. A HIGHLY ACCURATE PERFECTLY-MATCHED-LAYER BOUNDARY INTEGRAL EQUATION SOLVER FOR ACOUSTIC LAYERED-MEDIUM PROBLEMS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2023, 45(4): B523-B543, http://dx.doi.org/10.1137/22M1532457.
[4] Zhang, Lu, Xu, Liwei, Yin, Tao. Regularized hyper-singular boundary integral equation methods for three-dimensional poroelastic problems. JOURNAL OF COMPUTATIONAL PHYSICS[J]. 2022, 468: http://dx.doi.org/10.1016/j.jcp.2022.111492.
[5] Bruno, Oscar P, Xu, Liwei, Yin, Tao. Weighted integral solvers for elastic scattering by open arcs in two dimensions. INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING[J]. 2021, 122(11): 2733-2750, https://www.webofscience.com/wos/woscc/full-record/WOS:000621659000001.
[6] Zhang, Lu, Xu, Liwei, Yin, Tao. AN ACCURATE HYPERSINGULAR BOUNDARY INTEGRAL EQUATION METHOD FOR DYNAMIC POROELASTICITY IN TWO DIMENSIONS. SIAM JOURNAL ON SCIENTIFIC COMPUTING[J]. 2021, 43(3): B784-B810, http://apps.webofknowledge.com/CitedFullRecord.do?product=UA&colName=WOS&SID=5CCFccWmJJRAuMzNPjj&search_mode=CitedFullRecord&isickref=WOS:000674142500035.
[7] Bruno, Oscar P, Yin, Tao. A windowed Green function method for elastic scattering problems on a half-space. COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING[J]. 2021, 376: http://dx.doi.org/10.1016/j.cma.2020.113651.
[8] Xu, Liwei, Yin, Tao. Analysis of the Fourier series Dirichlet-to-Neumann boundary condition of the Helmholtz equation and its application to finite element methods. NUMERISCHE MATHEMATIK[J]. 2021, 147(4): 967-996, https://www.webofscience.com/wos/woscc/full-record/WOS:000632804400001.
[9] Bruno, Oscar P, Yin, Tao. Regularized integral equation methods for elastic scattering problems in three dimensions. JOURNAL OF COMPUTATIONAL PHYSICS[J]. 2020, 410: http://dx.doi.org/10.1016/j.jcp.2020.109350.
[10] Hu, Guanghui, Mantile, Andrea, Sini, Mourad, Yin, Tao. DIRECT AND INVERSE TIME-HARMONIC ELASTIC SCATTERING FROM POINT-LIKE AND EXTENDED OBSTACLES. INVERSE PROBLEMS AND IMAGING[J]. 2020, 14(6): 1025-1056, http://dx.doi.org/10.3934/ipi.2020054.
[11] Triki Faouzi, Yin Tao. Inverse conductivity equation with internal data. 2020, http://arxiv.org/abs/2003.13638.
[12] Yin Tao. On the hyper-singular boundary integral operator for elastic and thermoelastic scattering problems in three dimensions. Computer Methods in Applied Mechanics and Engineering. 2019, [13] Bao, Gang, Hu, Guanghui, Yin, Tao. TIME-HARMONIC ACOUSTIC SCATTERING FROM LOCALLY PERTURBED HALF-PLANES. SIAM JOURNAL ON APPLIED MATHEMATICS[J]. 2018, 78(5): 2672-2691, https://www.webofscience.com/wos/woscc/full-record/WOS:000448809300018.
[14] Bao, Gang, Hu, Guanghui, Kian, Yavar, Yin, Tao. Inverse source problems in elastodynamics. INVERSE PROBLEMS[J]. 2018, 34(4): https://www.webofscience.com/wos/woscc/full-record/WOS:000427640300001.
[15] Yin, Tao, Rathsfeld, Andreas, Xu, Liwei. A BIE-BASED DtN-FEM FOR FLUID-SOLID INTERACTION PROBLEMS. JOURNAL OF COMPUTATIONAL MATHEMATICS[J]. 2018, 36(1): 47-69, https://www.webofscience.com/wos/woscc/full-record/WOS:000427554000005.
[16] Bao, Gang, Hu, Guanghui, Su, Jiguang, Yin, Tao. Direct and inverse elastic scattering from anisotropic media. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES[J]. 2018, 117: 263-301, http://dx.doi.org/10.1016/j.matpur.2018.01.007.
[17] Yin, Tao, Hsiao, George C, Xu, Liwei. BOUNDARY INTEGRAL EQUATION METHODS FOR THE TWO-DIMENSIONAL FLUID-SOLID INTERACTION PROBLEM. SIAM JOURNAL ON NUMERICAL ANALYSIS[J]. 2017, 55(5): 2361-2393, https://www.webofscience.com/wos/woscc/full-record/WOS:000416767500011.
[18] Bao, Gang, Xu, Liwei, Yin, Tao. An accurate boundary element method for the exterior elastic scattering problem in two dimensions. JOURNAL OF COMPUTATIONAL PHYSICS[J]. 2017, 348: 343-363, http://dx.doi.org/10.1016/j.jcp.2017.07.032.
[19] Yin, Tao, Hu, Guanghui, Xu, Liwei, Zhang, Bo. Near-field imaging of obstacles with the factorization method: fluid-solid interaction. INVERSE PROBLEMS[J]. 2016, 32(1): http://dx.doi.org/10.1088/0266-5611/32/1/015003.
[20] Bao, Gang, Yin, Tao, Zeng, Fang. Multi-frequency iterative methods for the inverse medium scattering problems in elasticity. http://arxiv.org/abs/1902.04123.